The smallest number that both 21 and 23 can go into is 483.
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23 is a prime number.
19 is a prime number. Its only factors are 1 and 19. 21 is a composite number. Its factors are 1, 3, 7, and 21. 23 is a prime number. Its only factors are 1 and 23.
The fraction 21/23 cannot be simplified. You could muliply both of them by the same number, and get a fraction like 42/46, but it's better to keep fractions simplified.
Put them in order from least to greatest then find the middle number. In this case there are two 23 and 29 if you need one number I forget the formula, sorry.
Only 23 is a prime number.